
No, all is not well!
Before someone got the bright idea to teach music theory in a college classroom, this is the way the whole world did it in the 18th, 19th, and early 20th centuries:
1) Every single student, regardless of their instrument (including voice) had a primary teacher and then another teacher for theory/composition. This is how every major composer learned their craft, with the exception of Joe Haydn, whose teacher in Vienna was incorrigible (Haydn taught himself).
2) Just as rock and roll bands have done for the last 50 years (with a few notable exceptions), when a composer/pianist performed in concert, they were expected to give homage to Mozart and Beethoven. And, then they were expected to play their own compositions.
3) When Beethoven auditioned for Mozart, he started off with the very popular C Minor Concerto. Mozart abruptly stopped Beethoven and then requested that the student play some of his own compositions.
4) The OP's simplistic attempt to continue what is obviously a flawed dynamic (remember, I am also a philosopher) by attempting to insert a new causality, will not change the eventual result.
5) As evidenced today, there are hundreds if not thousands of piano teachers, who bribe their students to practice with gift cards. When I was young, we got a pasted on gold star on our piece, if we had learned it properly from the last lesson.
6) Per the Op, let your, soon to be adolescent son, spread his wings. That means: you get him a composition teacher, and an acoustic guitar. The piano lesson, along with an acoustic stringed instrument, will allow him to compose anything he wants to.
After that, you will just see what he has musically inside of him. That, of course, is your true goal, is it not???
7) That means, as a philosopher, I am well aware of male patriarchal dominance, and that is what is going on here!